c) The charge on the capacitor in an LRC-series circuit when R100k Ω, L-kH,C = 4 x 10* F and E(1) = 25 V is q(t) = c,e-50t cos 150t + c2e-50t sin 150t + 0.001where k is a constant. Find the value of k and the charge on the capacitor at0.01s%3Dwhen q(0) = 0 C and i(0) = 0 A.

Answered: Image /qna-images/answer/4237e6f5-da5c-4b61-b6e9-de4fa56cc42b.jpg

Answered: c) The charge on the capacitor in an…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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c) The charge on the capacitor in an LRC-series circuit when R 100k Ω, L k H, %3D C = 4 x 10 F and E(t) = 25 V is q(t) = c,e-50t cos 150t + cze-50t sin 150t + 0.001 where k is a constant. Find the value of k and the charge on the capacitor at t = 0.01s when q(0) = 0 C and i(0) 0 A.